Trig Functions and Rules
What is the ratio for sine?
Opposite over Hypotenuse
Find the missing Side: Theta = 37 Adjacent = 11 Hypotenuse = ?
13.8
What is the bearing of due West?
270 degrees
A 45-45-90 triangle has two sides with length of 5, what is the hypotenuse?
5 sqr 2
What is the radius of the unit circle?
1
What is the ratio for the tangent function?
Opposite over adjacent
Find the missing side: Theta = 32 Adjacent = 13 Opposite = x
8.1
What is the bearing of exactly south-east?
135 degrees
Chicas is standing 42 meters away from the base of a building looking up with an angle of elevation of 48 degrees, at Quinton, who is fixing to throw a baseball down to him. How tall is the building?
46.6 degrees
How many radians are there is a full 360 degree angle?
2 pi
Give the formula for the sine rule from memory
a/sin(A) = b/sin(B) = c/sin(C)
Find theta: Adjacent =13 Opposite = 4
17.1 degrees
A ship travels due south for 3km then due east for 3km. What is it's true bearing from its starting point?
135 degrees
Hannah, Jennifer, Vivi, Citlalli, Astrid, and Lindsey are all at an apple farm picking apples off of a tree. Hannah bets them all that she can climb to the top and get the highest apple, which is 52 feet off the ground. If Astrid, Jennifer, Vivi, Citlalli, and Lindsey are 9 feet from the tree, what is the angle of elevation (theta) from the girls to Hannah in the tree?
What is 80.2 degrees?
What is 135 degrees in radians?
3 pi on 4
Give the formula for the cosine rule from memory
c^2 = a^2 + b^2 + 2*a*b*cos(C)
Find theta with the given information. Adjacent = 12 Hypotenuse = 13
22.6 degrees
Thi travels on a bearing of 30 degrees for 2km away from Ben. What is Ben's bearing from Thi?
210 Degrees
Chris, Grant, Erick, and Tam decide to have a Pokémon battle. Erick Summons Charizard who stands at 5.5 meters high, and Erick is looking up at Charizard's head with an angle of elevation of 27 degrees, how far away is Erick from his Pokémon if he is 1.8 meters tall?
7.26 m away
Describe how sine, cosine and tan are represented on the unit circle.
Sine - y axis
Cosine - x axis
tans = sine/cosine
Show the derivation of the whiteboard of the sine rule
(see derivation)
A non-right angled triangle has side lengths of 20, 19 and 15. Find the angle opposite to the longest side length.
70.95 Degrees
A ship travels 3km south, then 4km at a bearing of 270 degrees. How far is it from it's starting point?
5km
Kobe, Carter, Emory, Jackson, Josh, and Cameron are all out playing golf. Carter smashes a drive with an angle of elevation of 15 degrees. If the highest point of the drive was at 20 meters, approximate how fall the ball will travel until it hits the ground using trigonometry.
149.3m
Explain why tan is sometimes undefined by using the unit circle
Tan is underfined when cosine=0, eg. tan(90) = sin(90)/0